Solve by completing the square
x^2-6x-16=0
2 answers:
Answer:
x = 8 or
x = -2
Step-by-step explanation:
<h2><em>Completing The Square</em><em>:</em></h2>
x² - 6x - 16 = 0
Here,
a = 1
b = -6
c = -16
Now,
x² - 6x + [6/2(1)]² - [6/2(1)]² - 16 = 0
x² - 6x + (6/2)² - (6/2)² - 16 = 0
x² - 6x + (3)² - (3)² - 16 = 0
(x - 3)² - 9 - 16 = 0
(x - 3)² - 25 = 0
(x - 3)² = 25
x - 3 = +-√25
x - 3 = +- 5
x = 3 +- 5
x = 3 + 5 or x = 3 - 5
<em><u>x = 8 or x = -2</u></em>
Hope it's helpful
Answer:
Step-by-step explanation:
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